What is the Greatest Common Factor of 78614 and 78629?

Greatest common factor (GCF) of 78614 and 78629 is 1.

GCF(78614,78629) = 1

We will now calculate the prime factors of 78614 and 78629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78614 and 78629.

How to find the GCF of 78614 and 78629?

We will first find the prime factorization of 78614 and 78629. After we will calculate the factors of 78614 and 78629 and find the biggest common factor number .

Step-1: Prime Factorization of 78614

Prime factors of 78614 are 2, 23, 1709. Prime factorization of 78614 in exponential form is:

78614 = 2¹ × 23¹ × 1709¹

Step-2: Prime Factorization of 78629

Prime factors of 78629 are 61, 1289. Prime factorization of 78629 in exponential form is:

78629 = 61¹ × 1289¹

Step-3: Factors of 78614

List of positive integer factors of 78614 that divides 78614 without a remainder.

1, 2, 23, 46, 1709, 3418, 39307

Step-4: Factors of 78629

List of positive integer factors of 78629 that divides 78614 without a remainder.

1, 61, 1289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78614 and 78629. The biggest common factor number is the GCF number.
So the greatest common factor 78614 and 78629 is 1.

Also check out the Least Common Multiple of 78614 and 78629